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Finding the Fourth Proportional to 5,138.80, 7,697.40 and 4,166.80

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Solution

The fourth proportional to 5,138.80, 7,697.40 and 4,166.80 is: 6,241.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,138.80 : 7,697.40 = 4,166.80 : x
  2. Step 2: Convert to fraction form
    5,138.80/7,697.40 = 4,166.80/x
  3. Step 3: Cross multiply
    5,138.80x = 7,697.40 × 4,166.80
  4. Step 4: Simplify right side
    5,138.80x = 32,073,526.32
  5. Step 5: Solve for x
    x = 32,073,526.32/5,138.80
  6. Step 6: Final answer
    x = 6,241.44

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.